1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
#include <bits/stdc++.h>

using namespace std;
#define PB push_back
#define MP make_pair
#define LL long long
#define int LL
#define FOR(i,a,b) for(int i = (a); i <= (b); i++)
#define RE(i,n) FOR(i,1,n)
#define REP(i,n) FOR(i,0,(int)(n)-1)
#define R(i,n) REP(i,n)
#define VI vector<int>
#define PII pair<int,int>
#define LD long double
#define FI first
#define SE second
#define st FI
#define nd SE
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())

template<class C> void mini(C&a4, C b4) { a4 = min(a4, b4); }
template<class C> void maxi(C&a4, C b4) { a4 = max(a4, b4); }

template<class TH> void _dbg(const char *sdbg, TH h){cerr<<sdbg<<"="<<h<<endl;}
template<class TH, class...TA> void _dbg(const char *sdbg, TH h, TA... a) {
  while (*sdbg!=',')cerr<<*sdbg++;cerr<<'='<<h<<",";_dbg(sdbg+1, a...);
}

template<class T> ostream& operator<<(ostream &os, vector<T> V) {
  os<<"[";for(auto vv:V)os<<vv<<","; os<<"]";
  return os;
}
template<class L, class R> ostream& operator<<(ostream &os, pair<L, R> P) {
  os<<"("<<P.first<<","<<P.second<<")";
  return os;
}

#ifdef LOCAL
#define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (__VA_ARGS__)
#define cerr if(0)cout
#endif

struct Dinic {
  struct Edge {
    int v, c, inv;
  };
  
public:
  Dinic() {
    n = -1;
  }  
  
  void AddEdge(int a, int b, int cap, int bi_dir) {
    debug(a, b, cap, bi_dir);
    if (n < max(a, b)) {
      n = max(n, max(a, b));
      ResizeVectors();
    }
    e_orig[a].PB(Edge{b, cap, SZ(e_orig[b])});
    e_orig[b].PB(Edge{a, bi_dir * cap, SZ(e_orig[a]) - 1});
  }
  
  int MaxFlow(int s, int t) {
    if (t > n || s > n) {
      n = max(s, t);
      ResizeVectors();
    }
    e = e_orig;
    int result = 0;
    while (Bfs(s, t)) {
      for (int i = 0; i <= n; i++) {
        beg[i] = 0;
      }
      result += Dfs(s, t, kInf);
    }
    debug(result);
    return result;
  }
  
private:
  int n;
  vector<vector<Edge>> e_orig, e;
  VI dis, beg;
  
  bool Bfs(int s, int t) {
    for (int i = 0; i <= n; i++) {
      dis[i] = n + 1;
    }
    dis[s] = 0;
    VI que;
    que.push_back(s);
    for (int i = 0; i < SZ(que); i++) {
      int v = que[i];
      for (auto edge : e[v]) {
        int nei = edge.v;
        if (edge.c && dis[nei] > dis[v] + 1) {
          dis[nei] = dis[v] + 1;
          que.push_back(nei);
          if (nei == t) {
            return true;
          }
        }
      }
    }
    return false;
  }
  
  int Dfs(int v, int t, int min_cap) {
    int result = 0;
    if (v == t || min_cap == 0) {
      return min_cap;
    }
    for (int& i = beg[v]; i < SZ(e[v]); i++) {
      int nei = e[v][i].v;
      int c = e[v][i].c;
      if (dis[nei] == dis[v] + 1 && c > 0) {
        int flow_here = Dfs(nei, t, min(min_cap, c));
        result += flow_here;
        min_cap -= flow_here;
        e[v][i].c -= flow_here;
        e[nei][e[v][i].inv].c += flow_here;
      }
      if (min_cap == 0) {
        break;
      }
    }
    return result;
  }
  
  void ResizeVectors() {
    e_orig.resize(n + 2);
    beg.resize(n + 2);
    dis.resize(n + 2);
  }
  
#ifdef int
  static const int kInf = 1e18;
#else
  static const int kInf = 1e9;
#endif
  
};


const int MaxN = 128;

int N, M;
Dinic dinic;
int timeFrom[MaxN], timeTo[MaxN], timeSpan[MaxN];


int32_t main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout << fixed << setprecision(12);
  cerr << fixed << setprecision(6);

  cin >> N >> M;
  int Source = 0,
      Sink = 1,
      TasksStart = 2,
      TimesStart = N + 2;

  int totalSpan = 0;
  set<int> stops;
  for (int i = 0; i < N; i++) {
    cin >> timeFrom[i] >> timeTo[i] >> timeSpan[i];
    stops.insert(timeFrom[i]);
    stops.insert(timeTo[i]);
    dinic.AddEdge(Source, TasksStart + i, timeSpan[i], false);
    totalSpan += timeSpan[i];
  }

  vector<int> stopsList(ALL(stops));
  for (int i = 0; i < SZ(stopsList) - 1; i++) {
    for (int j = 0; j < N; j++) {
      if (timeFrom[j] <= stopsList[i] && stopsList[i + 1] <= timeTo[j]) {
        dinic.AddEdge(TasksStart + j, TimesStart + i, stopsList[i + 1] - stopsList[i], false);
      }
    }
    dinic.AddEdge(TimesStart + i, Sink, M * (stopsList[i + 1] - stopsList[i]), false);
  }

  cout << (dinic.MaxFlow(Source, Sink) == totalSpan ? "TAK\n" : "NIE\n");
}